Mathematics for Microscopy and Cell Biology

“显微镜和细胞生物学的数学”提案将允许研究者对细菌聚集和生长以及上皮细胞迁移进行动手显微镜实验。分析这些过程的图像将有助于指导未来的数学建模工作，研究细菌如何在表面附近积聚以及上皮细胞如何闭合伤口。成像和图像分析是获得生物膜介导的细菌感染和伤口愈合机制的关键步骤。这些都是生物医学和生物工程中的重要问题，定量和系统的实验可以更好地解决这些问题。研究者还将开发一门应用数学课程，该课程基于现代细胞生物学中通常使用的不同类型的显微镜。本课程面向物理学家和数学家，回顾现代显微镜中出现的基本光学和化学激发。研究者还计划写一篇同行评议的关于现代显微镜的期刊评论文章，强调其理论方面。

The proposal "Mathematics for microscopy and cell biology," will allow the investigator to perform hands-on microscopy experiments on bacterial aggregation and growth and on epithelial cell migration. Analysis of images of these processes will help guide future mathematical modeling efforts into how bacteria accumulate near surfaces and how epithelial cells close wounds. Imaging and image analysis are critical steps needed for gaining mechanistic insight into how biofilm-mediated bacterial infections and wound healing occur. These are important problems in biomedicine and bioengineering which can be better addressed with the proposed quantitative and systematic experiments.The investigator will also develop an applied mathematics course based on the different types of microscopy typically used in modern cell biology. The course will be intended for physicists and mathematicians and review the fundamental optics and chemical excitation occurring in modern microscopy.The investigator also plans to write a peer-reviewed journal review article on modern microscopy, emphasizing its theoretical aspects.